2012/07/10 by Andrei Mikhailov, Mikhailov, Andrei · 1 citation
Mathematics · Physics and Astronomy · #16S37 (Secondary) #83E50 (Primary) 17B55 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1207.2441
openalex publication_date 2012/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS5xS5 can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex operators of ghost number 1, which correspond to conserved currents, are described in this language. We also give some algebraic description of the ghost number 2 vertices, which appears to be new. We use this algebraic description to clarify the structure of the zero mode sector of the ghost number two states in flat space, and initiate the study of the vertices of the higher ghost number.